A trolley of mass 300 ks carrying a sand bag of 25 kg is moving uniformly with a speed of `27km//h` on a frictionless track. After a while, sand starts leaking out of a hole on the trolley's floor at the rate of `0.05kgs^(-1)`. What is the speed of the trolley after the entire sand bag is empty ?

A (trolley + child) of total mass 200 kg is moving with a uniform speed of 36 km/h on a frictionless track. The child of mass 20 kg starts running on the trolley from one end to the other (10 m away) with a speed of 10 ms^(–1) relative to the trolley in the direction of the trolley's motion and jumps out of the trolley with the same relative velocity. What is the final speed of the trolley? How much has the trolley moved from the time the child begins to run?

A trolly of mass 200kg moves with a uniform speed of 36 km // h on a frictionless track. A child of mass 20kg runs on the trolly from one end to the other (10m away) with a speed of 4m//s relative to the trolly in a direction opposite to the trolly's motion and jumps out of the trolly. How much has teh trolly moved from the time the child begins to run ?

A monkey of mass 20 kg rides on a 40 kg trolley moving at a constant speed of 8 m/s along a horizontal track. Frictional force can be neglected. If the monkey jumps vertically, with respect to the moving trolley, the catch the overhanging branch of tree, the speed of the trolley after the monkey has jumped off is :-

Find an expression for, the acceleration and speed of a trolley A under the action of a constant force F if it contains sand that pours out through the floor at the rate of mu per second. The speed of the trolley at t=0 was v=0 and the initital mass of sand and trolley was M_(0)

A man weighing 80 kg is standing on a trolley weighing 320 kg . The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley along the rails at speed 1 m//s (w.r.t. to trolley) then after 4 s his displacement relative to the ground will be :

A boy of mass m is riding on a trolley of mass M which is moving on smooth floor at speed v_(0) . He jumps off in the opposite direction of motion of trolley with velocity u relative to the trolley before the jump. Find the velocity of the trolley after jump.